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Finding the Fourth Proportional to 3,784.64, 5,223.84 and 2,292.32

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Solution

The fourth proportional to 3,784.64, 5,223.84 and 2,292.32 is: 3,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.64 : 5,223.84 = 2,292.32 : x
  2. Step 2: Convert to fraction form
    3,784.64/5,223.84 = 2,292.32/x
  3. Step 3: Cross multiply
    3,784.64x = 5,223.84 × 2,292.32
  4. Step 4: Simplify right side
    3,784.64x = 11,974,712.91
  5. Step 5: Solve for x
    x = 11,974,712.91/3,784.64
  6. Step 6: Final answer
    x = 3,164.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.